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Finding the Fourth Proportional to 13,516.97, 18,653.49 and 7,549.16

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Solution

The fourth proportional to 13,516.97, 18,653.49 and 7,549.16 is: 10,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.97 : 18,653.49 = 7,549.16 : x
  2. Step 2: Convert to fraction form
    13,516.97/18,653.49 = 7,549.16/x
  3. Step 3: Cross multiply
    13,516.97x = 18,653.49 × 7,549.16
  4. Step 4: Simplify right side
    13,516.97x = 140,818,087.30
  5. Step 5: Solve for x
    x = 140,818,087.30/13,516.97
  6. Step 6: Final answer
    x = 10,417.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.